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Lower bounds for the eigenvalues of the Spin~c Dirac-Witten operator |
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| Authors: | CHEN YongFa School of Mathematics Statistics Central China Normal University Wuhan China |
| Affiliation: | CHEN YongFa School of Mathematics and Statistics,Central China Normal University,Wuhan 430079,China |
| Abstract: | In this paper,we get optimal lower bounds for the eigenvalues of the Spin c Dirac-Witten operator.These estimates are given in terms of the mean curvature and different geometric invariants as the scalar curvature,the first eigenvalue of the perturbed Yamabe operator and the spinorial energy-momentum tensor.The limiting cases are also discussed. |
| Keywords: | Spinc Dirac-Witten operator eigenvalue mean curvature scalar curvature |
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